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arXiv 2602.16243hep-thgr-qc
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五维多中心Myers-Perry黑洞

Multi-centered Myers-Perry Black Holes in Five Dimensions

Toyota Technological Institute（名古屋工业大学）；Nihon University（日本大学）

Shinya Tomizawa, Jun-ichi Sakamoto, Ryotaku Suzuki

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15 pages
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AI总结：

本文提出五维多中心极值Myers-Perry黑洞解，通过调和函数推广得到多中心结构，证明视界内无奇点及闭合类时曲线，且解渐近于Minkowski。

摘要：

我们提出了五维真空爱因斯坦引力中的一个新的多中心旋转黑洞解家族，提供了cohomogeneity-three时空的显式例子。众所周知，在两个可交换 Killing 向量场的存在下，理论可简化为耦合有 $SL(3,\mathbb{R})$ 非线性σ模型的3D引力，带有五个标量场。我们显示，极值Myers-Perry解的标量场可以表示为在3D平面上的两个调和函数，将这些函数推广以包含多个源则产生显式的多中心极值Myers-Perry黑洞，位于任意位置。每个中心形成光滑的 $S^3$ Killing 光边，只要旋转参数满足 $|j_i|<1/2$。我们进一步证明所有曲率奇点都隐藏在视界后，且视界内外不存在闭合类时曲线。这些解在局部意义上渐近于Minkowski，即常时间超曲面渐近于ALE。作为具体例子，我们考虑二元配置，检验其杆结构，并展示两个黑洞之间没有锥形奇点，表明它们由中间的气泡区域支撑。

英文摘要：

We present a new family of multi-centered rotating black hole solutions in 5D vacuum Einstein gravity, providing explicit examples of cohomogeneity-three spacetimes. It is well known that, in the presence of two commuting Killing vector fields, the theory reduces to 3D gravity coupled to an $SL(3,\mathbb{R})$ nonlinear sigma model with five scalar fields. We show that the scalar fields of the extremal Myers-Perry solution can be expressed in terms of two harmonic functions on 3D flat space, and that promoting these functions to include multiple sources yields explicit multi-centered extremal Myers-Perry black holes located at arbitrary positions. Each center forms a smooth $S^3$ Killing horizon, provided that the rotation parameters satisfy $|j_i|<1/2$. We further demonstrate that all curvature singularities are hidden behind the horizons and that no closed timelike curves arise on or outside the horizons. The solutions are asymptotically locally Minkowski in the sense that constant-time hypersurfaces are asymptotically locally Euclidean (ALE). As a concrete example, we consider a binary configuration, examine its rod structure, and demonstrate the absence of conical singularities between the two black holes, indicating that they are supported by an intermediate bubble region separating them.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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